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Simplifying 7w + -41 = 3(w + -3) Reorder the terms: -41 + 7w = 3(w + -3) Reorder the terms: -41 + 7w = 3(-3 + w) -41 + 7w = (-3 * 3 + w * 3) -41 + 7w = (-9 + 3w) Solving -41 + 7w = -9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -41 + 7w + -3w = -9 + 3w + -3w Combine like terms: 7w + -3w = 4w -41 + 4w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 -41 + 4w = -9 + 0 -41 + 4w = -9 Add '41' to each side of the equation. -41 + 41 + 4w = -9 + 41 Combine like terms: -41 + 41 = 0 0 + 4w = -9 + 41 4w = -9 + 41 Combine like terms: -9 + 41 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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